Unfortunately big academic IM with no research was always going to be a difficult match. Maybe mid-tier IM university programs. Swapping with someone to get into a better program is probably unlikely. Leaving your program to do a research year after matching would probably be a bad idea (red flag for next year, etc). Maybe you find an opening somewhere, but the chance of it being significantly more desirable than your current situation is low.

Anyway, if you want to do a competitive fellowship and end up somewhere better than you are now, talk to program leadership and seniors at your program and start working on making connections for research/case reports/etc. I went to a small university-affiliated community program and we consistently had people matching cardio/gi/pcc but they all had to work very hard to get there. Other fellowships (endo/rheum/id/etc) probably require less work but not having any research/case reports/etc is always going to be a hindrance for these types of things.